Cover Image

New results similar to Lagrange's four-square theorem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Sun, Zhi-Wei
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11B13, 11E20, 11E25, 11D85, 11P05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On quadratic Waring's problem in totally real number fields
by: Krásenský, Jakub, et al.
Published: (2021)

Arithmetic progressions represented by diagonal ternary quadratic forms
by: Wu, Hai-Liang, et al.
Published: (2018)

Sums of four polygonal numbers: precise formulas
by: Li, Jialin, et al.
Published: (2024)

Generalizing Hurwitz's quaternionic proof of Lagrange's and Jacobi's four-square theorems
by: Doležálek, Matěj
Published: (2024)

Sums of squares of integers from residue classes
by: Kim, Daejun
Published: (2025)

Existence of $K$-multimagic squares and magic squares of $k$th powers with distinct entries
by: Flores, Daniel
Published: (2024)

A circle method approach to K-multimagic squares
by: Flores, Daniel
Published: (2024)

Waring Numbers of Ramified $p$-adic Rings
by: Anthony, Lucas, et al.
Published: (2024)

Sums of squares of integers except for a fixed one
by: Chae, Wonjun, et al.
Published: (2025)

Universal sums via products of Ramanujan's theta functions
by: Bulkhali, Nasser Abdo Saeed, et al.
Published: (2024)

Even better sums of squares over quintic and cyclotomic fields
by: Kala, Vítězslav, et al.
Published: (2024)

Multifactorisations and Divisor Functions
by: Law, Ambrose D., et al.
Published: (2023)

Sums of squares of k-term forms
by: Goel, Charu, et al.
Published: (2024)

A nonabelian circle method
by: Arala, Nuno, et al.
Published: (2024)

Integral Hasse principle for Markoff type cubic surfaces
by: Mishra, Hrishabh
Published: (2024)

Effective Bertini theorems and zeros of $p$-adic forms of degrees 7 and 11
by: Beneish, Lea, et al.
Published: (2025)

Diophantine approximation with sums of two squares
by: Baier, Stephan, et al.
Published: (2025)

Diophantine approximation with sums of two squares II
by: Baier, Stephan, et al.
Published: (2025)

Local densities of $p$-adic quaternion hermitian forms
by: Hironaka, Yumiko
Published: (2023)

Universal quaternary mixed sums involving generalized 3-, 4-, 5- and 8-gonal numbers via products of Ramanujan's theta functions
by: Bulkhali, Nasser Abdo Saeed, et al.
Published: (2025)

Side lengths of cubes with vertices in $\mathbb Z^n$
by: Bernert, Christian, et al.
Published: (2026)

Coprime-Universal Quadratic Forms
by: Bordignon, Matteo, et al.
Published: (2024)

Universality criterion sets for quadratic forms over number fields
by: Kala, Vitezslav, et al.
Published: (2024)

Number of integers represented by families of binary forms III: fewnomials
by: Fouvry, Etienne, et al.
Published: (2025)

Addition theorems in partially ordered groups
by: Nathanson, Melvyn B.
Published: (2024)

Kitaoka's Conjecture for quadratic fields
by: Kala, Vitezslav, et al.
Published: (2025)

Elementary local representation densities at all primes via lifting recursions
by: Griffiths, Samuel
Published: (2026)

Representing rational integers by generalized quadratic forms over quadratic fields
by: Chwiedziuk, Ondřej, et al.
Published: (2024)

Integral Springer Theorem for Quadratic Lattices under Base Change of Odd Degree
by: Hu, Yong, et al.
Published: (2024)

Small solutions of generic ternary quadratic congruences to general moduli
by: Baier, Stephan, et al.
Published: (2024)

Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers
by: Yoshida, Yuuya
Published: (2024)

Pythagoras numbers for infinite algebraic fields
by: Daans, Nicolas, et al.
Published: (2025)

On arithmetical structures on K9
by: Levaillant, Claire
Published: (2023)

Strong Approximation and Hasse Principle for Integral Quadratic Forms over Affine Curves
by: Hu, Yong, et al.
Published: (2023)

Waring's problem for pseudo-polynomials
by: Madritsch, Manfred G.
Published: (2026)

Finite sequences of integers expressible as sums of two squares
by: Choudhry, Ajai, et al.
Published: (2023)

No proper generalized quadratic forms are universal over quadratic fields
by: Chwiedziuk, Ondřej, et al.
Published: (2024)

Regular ternary sums of generalized polygonal numbers
by: Kim, Mingyu
Published: (2026)

On extreme values of $r_3(n)$ in arithmetic progressions
by: Filaseta, Michael, et al.
Published: (2024)

Distribution of integer points on determinant surfaces and a $\text{mod-}p$ analogue
by: Ganguly, Satadal, et al.
Published: (2025)